### Background and activities

Brynjulf Owren has been a professor at the Department of Mathematical Sciences since January 1994. He belongs to the research group Differential Equations and Numerical Analysis.

### Main area of research

Numerical analysis of ordinary and partial dfferential equations, initial value problems, integration methods for dfferential equations on manifolds (geometric integration). Mathematical modelling.

### Academic degrees

- Doktoringeniør (PhD) in Numerical Analysis at the Norwegian Institute of Technology (NTH) (1990) Continuous Explicit Runge-Kutta Methods with Applications to Ordinary and Delay Differential Equations, advisor: Professor S.P. Nørsett.
- Sivilingeniør (Master of Science) in Physics and Mathematics at NTH, 1984. Main subject: Numerical mathematics. MSc thesis: Acoustic response in oil wells (in Norwegian).

### Work experience

- 1994- current: Professor at the Department of Mathematical Sciences, NTNU
- 2012-2017: Vice Dean of Education at the Faculty of Information Technology and Electrical Engineering, NTNU.
- 1992-1993 Førsteamanuensis (Assistant professor) at the Department of Mathematics and Statistics, University of Trondheim
- 1990-1992 Postdoctoral fellow at Department of Computer Science, University of Toronto.
- 1990 Lecturer at the Norwegian Institute of Technology.
- 1987-1989 Ph.D. fellowship from NTH.
- 1986 Research assistant (vitenskapelig assistent) at Department of Mathematical Sciences, NTH.
- 1988-90 Research scientist (forsker), part time, at SINTEF Industrial Mathematics, Trondheim, Norway.
- 1985-1988 Research Geophysicist at SERES A/S, Trondheim, Norway.
- Supervised 10 PhD students (current and former) and 31 M.Sc. students.

### Memberships, leadership experience (selection)

- President of the Norwegian Mathematical Council from 2015
- Member of Board of Directors of SEFI (European Society for Engineering Education) 2012-2015
- President of the Norwegian Mathematical Society 2007{2011 (board member since 2004)Council member of ECMI 2007{2011 (European Consortium for Mathematics in Industry).
- Leader of special year in Geometric Integration, Center for Advanced Study, Oslo, 2002-2003 (coorganised with Prof Munthe-Kaas, University of Bergen)
- Leader of 2004–2007, and of study programme in Physics and Math, NTNU, 2008–2012Board member of UNIK, 2015- (University Graduate Center at Kjeller)
- Board member of the Norwegian Mathematical Council

### Some later research projects

- GALA. EU Sixth Framework Programme, STREP project 2006–2009. Leader for Trondheim node.
- 3D CSEM. Inversion and Modeling 2012–2015. Joint project between NTNU and the company EMGS.
- SPIRIT. Structure Preserving Integrators, discRete Integrable systems and algebraic combinaTorics. The Research Council of Norway, 2013–2017, Project leader.

See my CV for more detailed information.

### Scientific, academic and artistic work

A selection of recent journal publications, artistic productions, books, including book and report excerpts. See all publications in the database

#### Journal publications

- (2019) Deep learning as optimal control problems: models and numerical methods. arXiv.org.
- (2019) Energy-preserving methods on Riemannian manifolds. Mathematics of Computation.
- (2019) Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps. arXiv.org.
- (2019) Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org.
- (2019) Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals. Journal of Physics A: Mathematical and Theoretical. vol. 52 (6).
- (2019) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numerical Algorithms. vol. 81 (4).
- (2019) Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation. Journal of Physics A: Mathematical and Theoretical. vol. 52 (4).
- (2018) Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows. SIAM Journal on Scientific Computing. vol. 40 (6).
- (2018) The Magnus expansion and Post-Lie algebras. arXiv.org.
- (2018) Variable stepsize commutator free Lie group integrators. arXiv.org.
- (2018) Predicting football tables by a maximally parsimonious model. Mathematics for applications. vol. 7 (2).
- (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. arXiv.org.
- (2017) Adaptive energy preserving methods for partial differential equations. Advances in Computational Mathematics.
- (2016) Two classes of quadratic vector fields for which the Kahan discretization is integrable. MI Lecture Note, Kyushu University. vol. 74.
- (2016) Two classes of quadratic vector fields for which the Kahan discretization is completely integrable MI Lecture Note Vol.74 : Kyushu University. MI Lecture Note, Kyushu University. vol. 74.
- (2016) A Computationally Inexpensive Coordinate Map for Lie Group Integrators. MI Lecture Note, Kyushu University. vol. 74.
- (2016) Geometric integration of non-autonomous linear Hamiltonian problems. Advances in Computational Mathematics. vol. 42 (2).
- (2015) Discretization of polynomial vector fields by polarization. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. vol. 471:20150390.
- (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics. vol. 257, Part B.
- (2014) Integrability properties of Kahanʼs method. Journal of Physics A: Mathematical and Theoretical. vol. 47 (36).